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Transcript
Geometry Sect. 1.5 G. SRT.7 / Math Pract. 2,3 Sect. 1.5 Angle Relationships Adjacent angles lie in the same plane and have the same vertex and a common side but no common interior points. 1 1 and 2 are adjacent angles 2 Linear pair an adjacent pair of angles whose non common sides are opposite rays. 2 1 1 and 2 form a linear pair Vertical angles two non adjacent angles formed by intersecting lines. 2 3 1 4 Mr. VanKeuren / G.H.S. / 2014 1 and 3 and 2 and 4 are vertical angles 1 Geometry Sect. 1.5 G. SRT.7 / Math Pract. 2,3 Ex.: Use the given figure to name each of the indicated items. a. All of the adjacent angles. 6 7 b. All of the linear pairs. c. All of the vertical angles. Mr. VanKeuren / G.H.S. / 2014 5 4 3 2 1 2 Geometry Sect. 1.5 G. SRT.7 / Math Pract. 2,3 Angle pair relations Vertical angles are congruent. 1 2 4 1 3 3 2 4 Complementary angles add to 90 . D 1 or 50 40 C 2 1 and 2 are complementary C and D are complementary Supplementary angles add to 180 . 2 1 30 150 or F E 1 and 2 are supplementary E and F are supplementary Angles in a linear pair are supplementary. 1 and 2 in the last relationship example form a linear pair and are supplementary angles. Mr. VanKeuren / G.H.S. / 2014 3 Geometry Sect. 1.5 G. SRT.7 / Math Pract. 2,3 Note It is important to remember to use the information you are given. Do not presume things exist or are true unless stated or proven. Pictures are not drawn to scale and you must use definitions to determine relationships or conclusions. Ex.: Find x and y so that AC and DF are perpendicular. D E 4y+2 A B 2x4 C 2x+6 G F Mr. VanKeuren / G.H.S. / 2014 4